I have transplanted raspberry clumps in the spring, right when they begin to leaf out, and the success rate is 100%. We have everbearing red raspberries, and the canes are cut down in the fall, so the clumps that get dug up and moved in the spring are maybe 8 inches tall, plus the roots. Everbearing raspberries will recover, grow several feet high, flower, and bear fruit the same year, in August and September. However, the summer bearing varieties might need a full year to recover, and bear fruit the 2nd year.